Binding energies of hypernuclei and ΛN interaction

On the basis of a conjoint analysis of binding energies of 1s hypernuclei and Λp scattering a central ΛN potential VΛN is found that describes in the limits of experimental errors the binding energies of three-, four- and five-particle ground and excited states of hypernuclei as well as energy and angular dependence of Λp scattering. The reliability and accuracy of three-, four- and five-particle calculations of hypernuclear and related nuclear systems are assured by estimation of not only upper but also lower bound of energy. In the frame of the model Λ+core VΛN agrees with binding energies of heavy hypernuclei